The Dynamic Modulation Doping Effect of Gas Molecules on an AlGaN/GaN Heterojunction Surface

AlGaN/GaN high-electron-mobility transistors (HEMTs) are widely used in high-frequency and high-power applications owing to the high two-dimensional electron gas (2DEG) concentration. However, the microscopic origin of the 2DEG remains unclear. This hinders the development of device fabrication technologies, such as threshold voltage modulation, current collapse suppression, and 2DEG concentration enhancement technologies, as well as AlGaN/GaN sensors with very high sensitivity to polar liquids. To clarify the 2DEG microscopic origin, we studied the effects of gas molecules on AlGaN/GaN surfaces through various experiments and first-principles calculations. The results indicated that the adsorption of gas molecules on the AlGaN/GaN surface is an important phenomenon, clarifying the microscopic origin of the 2DEG. This study elucidates the properties of AlGaN/GaN heterojunctions and promotes the development of new fabrication technologies for AlGaN/GaN devices.


Introduction
In recent decades, there have been rapid advancements in communications, computing, and artificial intelligence; consequently, integrated circuit systems have undergone significant miniaturization, and their power densities and operating frequencies have increased.AlGaN/GaN high-electron-mobility transistors (HEMTs) have been widely used in high-frequency and high-power applications owing to their high breakdown voltages, high working temperatures, and chemical inertness [1][2][3][4][5].Furthermore, these HEMTs have a high two-dimensional electron gas (2DEG) concentration of >10 13 cm −2 at the AlGaN/GaN interface without intentional doping [6,7].It is generally accepted that the high 2DEG concentration arises from the strong spontaneous and piezoelectric polarization effects of III-nitride (III-N) materials [7][8][9].However, there is currently no consensus regarding the microscopic origin of the 2DEG in bare AlGaN/GaN heterojunctions.
Many researchers have investigated the origin of the 2DEG in bare AlGaN/GaN heterojunctions and have proposed several mechanisms.The most widely accepted theory is that the 2DEG originates from donor-like states on the AlGaN surface [10][11][12][13][14][15][16][17][18].This offers a theoretical understanding of the 2DEG origin; however, two questions remain unanswered: what is the type of matter that produces these donor-like states, and why do these states show a specific distribution in the bandgap?The attraction of ions from the ambient atmosphere provides a reasonable explanation [9,19]; however, it does not address the first question.Surface oxidation has also been considered based on calculations [15,[20][21][22] and experimental results [22].Surface oxides are very stable owing to the strong Ga-O bond and are mostly unaffected by the room temperature (~25 • C) environment.However, the 2DEG in AlGaN/GaN heterojunctions without passivation is not very stable.In particular, polar organic liquids on the AlGaN/GaN surface can reduce the 2DEG concentration by 66.7% [19].These results suggest that the 2DEG has other origins.
Researchers have also shown that the 2DEG in AlGaN/GaN heterojunctions is highly sensitive to polar organic liquids [19].This high sensitivity is attributed to the direct interactions between the polar liquids and AlGaN surfaces, including surface charge compensation [19,23], surface potential change [24][25][26], and large dipole moment-induced negative charges [27].However, in this study, we showed that the 2DEG cannot be recovered once the polar liquid is removed, which contradicts the direct polar liquid-AlGaN interaction mechanism.
In this study, we investigate 2DEG variations in a bare AlGaN/GaN heterojunction under different environments and excitations, including polar liquid immersion, vacuum environment, and ultraviolet (UV) excitation, in different atmospheres.First-principles calculations are performed to estimate the states of O 2 molecules on the AlN and GaN surfaces.Based on the experimental and theoretical results, we present a new model, i.e., "dynamic surface-modulation doping of gas molecules", to explain the microscopic origin of the 2DEG in bare AlGaN/GaN heterojunctions.

Effects of Water and Polar Organic Liquids on AlGaN/GaN Heterojunction
Figure 1a,b show the ungated Al 0.26 Ga 0.74 N/GaN heterojunction used in our experiments.A 2DEG channel was located at the AlN/GaN interface.We applied a bias of V ds = 5 V between the source and drain electrodes, and the drain-source current (I ds ) in the linear region was used as a direct indicator of the 2DEG concentration (n s ).
Deionized (DI) water, acetone, acetic acid, acetonitrile, and ethanol were dropped separately onto the surface of the ungated AlGaN/GaN HEMT (Sample 1).(For test details, refer to Section S1 of the Supporting Information).I ds as a function of time is shown in Figure 1c.
In agreement with the results of previous reports [19,23,25], the addition of water and polar organic liquids to the AlGaN/GaN surface reduced the 2DEG concentration and caused I ds to decrease rapidly by up to ~21.5% (as shown in Figure 1c,d).Therefore, n s was found to decrease by approximately 20%.
We also dropped ethanol onto Sample 2, placed it in a dark vacuum chamber at 10 −3 Pa, and recorded I ds as a function of time; the plot is shown in Figure 1d (see Section S2 of the Supporting Information for further details).When ethanol was added to the sample, I ds decreased.In a vacuum, ethanol evaporates, and I ds recovers to the initial value if polar liquids reduce n s directly.However, I ds remained low for a long time (~2.5 h) with no sign of recovery.This may be because the polar liquid molecules were persistently adsorbed on the AlGaN/GaN heterojunction owing to the strong polarization of the heterojunction or other unknown mechanisms.
Sample 3 was cleaned sequentially using acetone, isopropanol, and DI water in an ultrasonic bath.Then, it was dried over N 2 and placed in a dark vacuum chamber at ~10 −9 Pa (see Section S2 of the Supporting Information for further details).The I ds -t curves were recorded after two, five, and seven days, as shown in Figure 1e.This showed that I ds decreased continuously over time.If the polar liquid molecules were persistently adsorbed on the AlGaN/GaN heterojunction, then I ds should remain at a constant, relatively low value over time but should not continue to decrease.Therefore, we concluded that the decrease in I ds (that is, the decrease in n s ) was caused by the desorption of some components in the atmosphere to which Sample 3 was exposed.Sample 3 was cleaned sequentially using acetone, isopropanol, and DI water in an ultrasonic bath.Then, it was dried over N2 and placed in a dark vacuum chamber at ~10 −9  Pa (see Section S2 of the Supporting Information for further details).The Ids-t curves were recorded after two, five, and seven days, as shown in Figure 1e.This showed that Ids decreased continuously over time.If the polar liquid molecules were persistently adsorbed on the AlGaN/GaN heterojunction, then Ids should remain at a constant, relatively low value over time but should not continue to decrease.Therefore, we concluded that the decrease in Ids (that is, the decrease in ns) was caused by the desorption of some components in the atmosphere to which Sample 3 was exposed.
The surface of the AlGaN/GaN heterojunction before and after the addition of ethanol was analyzed through X-ray photoelectron spectroscopy (XPS); the XPS spectra are shown in Figure 1f.When ethanol was added, the intensity of the peak ascribed to O decreased.In particular, the intensity of the peak at approximately 532 eV corresponding to O2 was substantially reduced.This evidence also negates the possibility of persistent adsorption of polar organic liquids on the AlGaN/GaN heterojunction, which would increase the intensity of the O peak [28].Therefore, we conclude that polar liquids do not directly affect ns.Neglecting other factors that are believed to be the true origins of 2DEG, i.e., the surface cleaning effect, it can be observed that the Ids of the AlGaN/GaN heterojunction exhibits indirect "sensitivity" to polar liquids.These results provide guidance to deduce the factors that affected the 2DEG concentration.In particular, such factors must be present in the air, must be volatile, and should probably contain O.The surface of the AlGaN/GaN heterojunction before and after the addition of ethanol was analyzed through X-ray photoelectron spectroscopy (XPS); the XPS spectra are shown in Figure 1f.When ethanol was added, the intensity of the peak ascribed to O decreased.In particular, the intensity of the peak at approximately 532 eV corresponding to O 2 was substantially reduced.This evidence also negates the possibility of persistent adsorption of polar organic liquids on the AlGaN/GaN heterojunction, which would increase the intensity of the O peak [28].Therefore, we conclude that polar liquids do not directly affect n s .Neglecting other factors that are believed to be the true origins of 2DEG, i.e., the surface cleaning effect, it can be observed that the I ds of the AlGaN/GaN heterojunction exhibits indirect "sensitivity" to polar liquids.These results provide guidance to deduce the factors that affected the 2DEG concentration.In particular, such factors must be present in the air, must be volatile, and should probably contain O.

Effects of Atmosphere on AlGaN/GaN Heterojunction under UV Illumination
Based on the above results, we tested Sample 4 in a dark environment under air (see Section S2 of the Supporting Information for further details).The current did not recover for a long time (~7 h); this implies that surface adsorption is highly unlikely to occur in the absence of outer excitation.Next, we designed an experiment with UV illumination to test current recovery in different atmospheres.
Ethanol was dropped onto Sample 4, which was then placed in a dark vacuum chamber.Once the vacuum stabilized at 10 −4 Pa and the ethanol evaporated, the chamber was ventilated using air, N 2 (99.999%), or O 2 (99.999%) (see Section S3 of the Supporting Information for further details).A UV light-emitting diode (LED) with a peak wavelength of 300 nm and power of 0.24 µW was used to illuminate the sample for 1980 s. Once I ds was approximately saturated, the UV LED was turned off.The ∆I ds -t curves are shown in Figure 2a with initial I ds (t = 0) as a reference.When the UV LED was turned off, I ds slowly decreased from the peak value to a stable value (decrease in ∆I air , ∆I O2 , and ∆I N2 in air, O 2 , and N 2 , respectively).It was found that ∆I O2 > ∆I air > 0 > ∆I N2 .That is, when excited by 300 nm light, O 2 and air induced additional 2DEG, whereas N 2 did not.Furthermore, τ O2 ≈ 1460 s < τ air ≈ 2294 s < τ N2 ≈ 5768 s, where τ is the persistent photoconductivity (PPC) decay-time constant [29].
was approximately saturated, the UV LED was turned off.The Ids-t curves are shown in Figure 2a with initial Ids (t = 0) as a reference.When the UV LED was turned off, Ids slowly decreased from the peak value to a stable value (decrease in Iair, IO2,and IN2 in air, O2, and N2, respectively).It was found that IO2 > Iair > 0 > IN2.That is, when excited by 300 nm light, O2 and air induced additional 2DEG, whereas N2 did not.Furthermore, τO2 ≈ 1460 s < τair ≈ 2294 s < τN2 ≈ 5768 s, where τ is the persistent photoconductivity (PPC) decaytime constant [29].
We repeated this experiment in an O2 atmosphere with a high UV power of 80 µW for 80 s.As shown in Figure 2b, the stable Ids@7000 s (Ids of the sample at 7000 s) of 25.17 mA was very close to the initial Ids@688 s (Ids of the sample at 688 s, before ethanol cleaning) value of 25.60 mA, which shows that the 2DEG was approximately recovered.This phenomenon is very similar to the photo adsorption of O on the surface of GaN [30].To further explain this phenomenon, we plotted a bandgap diagram (Figure 2c), and for easy understanding, we simplified the energy band diagram by assuming that oxygen molecules are directly adsorbed on the surface of AlGaN.When the AlGaN/GaN heterojunction was illuminated by 300 nm light, electron-hole pairs in both the AlGaN barrier layer and GaN buffer were excited.The electrons in the AlGaN barrier and GaN buffer, driven by the inner built-in electric field, drifted into the 2DEG channel, which increased the 2DEG concentration; thus, the current increased accordingly.The holes in the GaN buffer remained there and did not affect the AlGaN surface owing to the valence band barrier at the AlGaN/GaN interface.The holes in the AlGaN barrier layer drifted to the surface and accumulated there.When O2 molecules reached the AlGaN surface [30], the holes transferred to the O2 molecules, which thereby changed to positive molecule ions and were absorbed on the AlGaN surface.When the illumination was turned off, the photo-induced current was reduced to zero.However, the ions remained on the AlGaN surface, and according to the charge neutrality principle, the same number of electrons were in the 2DEG channel, which resulted in the additional current.
The PPC decay-time constant depends on the hole-consumption rate.In a N2 atmosphere, the holes are consumed as they recombine with the 2DEG.In an O2 atmosphere, in addition to recombination with the 2DEG, surface holes are consumed as they are transferred to O2 molecules.The hole-consumption rate in an O2 atmosphere was higher than that in a N2 atmosphere.Therefore, the PPC decay-time constant in an O2 We repeated this experiment in an O 2 atmosphere with a high UV power of 80 µW for 80 s.As shown in Figure 2b, the stable I ds @7000 s (I ds of the sample at 7000 s) of 25.17 mA was very close to the initial I ds @688 s (I ds of the sample at 688 s, before ethanol cleaning) value of 25.60 mA, which shows that the 2DEG was approximately recovered.This phenomenon is very similar to the photo adsorption of O on the surface of GaN [30].
To further explain this phenomenon, we plotted a bandgap diagram (Figure 2c), and for easy understanding, we simplified the energy band diagram by assuming that oxygen molecules are directly adsorbed on the surface of AlGaN.When the AlGaN/GaN heterojunction was illuminated by 300 nm light, electron-hole pairs in both the AlGaN barrier layer and GaN buffer were excited.The electrons in the AlGaN barrier and GaN buffer, driven by the inner built-in electric field, drifted into the 2DEG channel, which increased the 2DEG concentration; thus, the current increased accordingly.The holes in the GaN buffer remained there and did not affect the AlGaN surface owing to the valence band barrier at the AlGaN/GaN interface.The holes in the AlGaN barrier layer drifted to the surface and accumulated there.When O 2 molecules reached the AlGaN surface [30], the holes transferred to the O 2 molecules, which thereby changed to positive molecule ions and were absorbed on the AlGaN surface.When the illumination was turned off, the photo-induced current was reduced to zero.However, the ions remained on the AlGaN surface, and according to the charge neutrality principle, the same number of electrons were in the 2DEG channel, which resulted in the additional current.
The PPC decay-time constant depends on the hole-consumption rate.In a N 2 atmosphere, the holes are consumed as they recombine with the 2DEG.In an O 2 atmosphere, in addition to recombination with the 2DEG, surface holes are consumed as they are transferred to O 2 molecules.The hole-consumption rate in an O 2 atmosphere was higher than that in a N 2 atmosphere.Therefore, the PPC decay-time constant in an O 2 atmosphere (τ O2 ) was lower than that in a N 2 atmosphere (τ N2 ).Notably, the stable current in a N 2 atmosphere was lower than the initial value (∆I N2 < 0), possibly owing to the N 2 atmosphere carrying some O 2 ions from the AlGaN surface.
From this observation, the critical question arises as to why air and O 2 induce the observed effects, whereas N 2 does not.As indicated by the semiconductor theory, the electrons can occupy or transfer in/out of the material only in an energy state.Therefore, we next considered which gas molecules could have an energy state and the depth of the energy state on the III-N material surface.

First-Principles Calculation
Previously, some researchers have conducted first-principles calculations and suggested that the Ga-O bond on the AlGaN surface is the origin of the 2DEG in the Al-GaN/GaN heterojunction [20].Our vacuum experiments (see above) also suggested that the adsorption matter is volatile.The Ga-O bond has a high formation energy of −10.4 eV and is very difficult to break at room temperature (~25 • C), thereby imparting non-volatile properties [31].Furthermore, there is no evidence that polar liquids can remove O from the AlGaN surface by breaking the Ga-O bond.Therefore, we focused on investigating the interactions between the gas molecules and III-N material using first-principles calculations, i.e., the possibility of a bond with an adsorption energy stronger than physical adsorption while weaker than chemical adsorption.
We used the density functional theory (DFT) to calculate the adsorption energies of N 2 and O 2 .N H3 adatom reconstruction, shown in Figure 3a, was performed to satisfy the electron counting rule.The adsorption energy is defined as ∆E ad = E ad − (E sur + E gas ).For N 2 , ∆E ad = 0.112 eV.∆E ad is unstable for N 2 adsorbed on the GaN surface; therefore, N 2 was far from the surface, as shown in Figure 3b.For O 2 , ∆E ad = −0.461eV.∆E ad is stable for O 2 adsorbed on the GaN surface, as shown in Figure 3c; therefore, O 2 could still be adsorbed after a certain rotation of ~30 • .
atmosphere carrying some O2 ions from the AlGaN surface.
From this observation, the critical question arises as to why air and O2 indu observed effects, whereas N2 does not.As indicated by the semiconductor theo electrons can occupy or transfer in/out of the material only in an energy state.The we next considered which gas molecules could have an energy state and the depth energy state on the III-N material surface.

First-Principles Calculation
Previously, some researchers have conducted first-principles calculation suggested that the Ga-O bond on the AlGaN surface is the origin of the 2DEG AlGaN/GaN heterojunction [20].Our vacuum experiments (see above) also suggest the adsorption matter is volatile.The Ga-O bond has a high formation energy of − and is very difficult to break at room temperature (~25 °C), thereby imparting non-v properties [31].Furthermore, there is no evidence that polar liquids can remove O the AlGaN surface by breaking the Ga-O bond.Therefore, we focused on investigat interactions between the gas molecules and III-N material using first-pri calculations, i.e., the possibility of a bond with an adsorption energy stronge physical adsorption while weaker than chemical adsorption.
We used the density functional theory (DFT) to calculate the adsorption ener N2 and O2.NH3 adatom reconstruction, shown in Figure 3a, was performed to sati electron counting rule.The adsorption energy is defined as Ead = Ead − (Esur + Egas).Ead = 0.112 eV.Ead is unstable for N2 adsorbed on the GaN surface; therefore, N2 w from the surface, as shown in Figure 3b.For O2, Ead = -0.461eV.Ead is stable adsorbed on the GaN surface, as shown in Figure 3c; therefore, O2 could still be ad after a certain rotation of ~30°.Since van der Waals forces act between the molecule and the surface, we sw the use of the original vdW-DF functional [32].These functionals depend on the e density at two points in space and model long-range van der Waals (disp Since van der Waals forces act between the molecule and the surface, we switch on the use of the original vdW-DF functional [32].These functionals depend on the electron density at two points in space and model long-range van der Waals (dispersion) correlation effects.For N 2 , ∆E ad = −0.266eV.N 2 molecules are adsorbed onto the surface.For O 2 , ∆E ad = −0.636eV.∆E ad is more stable for O 2 adsorbed on the GaN surface.
We studied the density of states (DOSs) and partial density of states (PDOSs) of O 2 adsorbed on the GaN(0001) surface; the results are shown in Figure 4a  Next, we investigated the effects of O2 bonding on the GaN(0001) surface by computing the deformation electron density.For O2 on GaN(0001), the deformation electron density can be expressed as  = O2@GaN(0001) −  i, where O2@GaN(0001) is the deformation electron density of the total O2 + GaN(0001) system, and i is the electron density of the ith atom.We considered a slide-through O2 molecule and Ga atom, as shown in Figure 4c (where increases and decreases in electron density are indicated by red and blue regions, respectively).As a comparison, the deformation electron density of the N2 + GaN(0001) system is shown in Figure 4d.The figures indicate that a weak bond existed between the O and Ga atoms, the deformation electron density of the Ga atom increased slightly, and little electron transfer occurred from O2 to Ga.But, there is no similar bond or charge transfer between Ga and N2.
It is well known that in AlGaN/GaN heterojunctions, the AlGaN barrier layer must exceed the critical thickness to generate the 2DEG.Based on the first-principles calculations, the energy level of O2 was estimated to be 1.391 eV below the CBM of the GaN surface, which resulted in a critical barrier thickness of 3.02 nm for the Al0.26Ga0.74N/GaNheterojunctions.This is consistent with the results reported in previous reports [15].
The surface energy level of O2 on AlN was determined to be 3.56 eV below the CBM by first-principles calculation.Therefore, it is reasonable to generalize the energy levels of O2 on AlxGa1-xN (0 ≤ x ≤1), the Al, Ga, N ternary compound with arbitrary Al composition of x (see Section S4 of the Supporting Information for further details).This may help people estimate the bandgap diagram of the bare AlxGa1-xN/GaN heterojunctions.

Physical Model: Gas-Molecule Dynamic Modulation Doping on AlGaN/GaN Heterojunction
Following the first-principles calculations, we concluded that some types of gas molecules have energy states on the III-N surface.When these molecules collide with the III-N surface, electrons can be transferred from the molecules to the 2DEG channel, which causes the positively charged molecules to be adsorbed on the surface.The amount of adsorbed molecules depends on the inner polarization field (driving force) and environment (outside condition).The adsorption and desorption of molecules occur Next, we investigated the effects of O 2 bonding on the GaN(0001) surface by computing the deformation electron density.For O 2 on GaN(0001), the deformation electron density can be expressed as ∆ρ = ρ O2@GaN(0001) − Σ ρ i , where ρ O2@GaN(0001) is the deformation electron density of the total O 2 + GaN(0001) system, and ρ i is the electron density of the i th atom.We considered a slide-through O 2 molecule and Ga atom, as shown in Figure 4c (where increases and decreases in electron density are indicated by red and blue regions, respectively).As a comparison, the deformation electron density of the N 2 + GaN(0001) system is shown in Figure 4d.The figures indicate that a weak bond existed between the O and Ga atoms, the deformation electron density of the Ga atom increased slightly, and little electron transfer occurred from O 2 to Ga.But, there is no similar bond or charge transfer between Ga and N 2 .
It is well known that in AlGaN/GaN heterojunctions, the AlGaN barrier layer must exceed the critical thickness to generate the 2DEG.Based on the first-principles calculations, the energy level of O 2 was estimated to be 1.391 eV below the CBM of the GaN surface, which resulted in a critical barrier thickness of 3.02 nm for the Al 0.26 Ga 0.74 N/GaN heterojunctions.This is consistent with the results reported in previous reports [15].
The surface energy level of O 2 on AlN was determined to be 3.56 eV below the CBM by first-principles calculation.Therefore, it is reasonable to generalize the energy levels of O 2 on Al x Ga 1−x N (0 ≤ x ≤1), the Al, Ga, N ternary compound with arbitrary Al composition of x (see Section S4 of the Supporting Information for further details).This may help people estimate the bandgap diagram of the bare Al x Ga 1−x N/GaN heterojunctions.

Physical Model: Gas-Molecule Dynamic Modulation Doping on AlGaN/GaN Heterojunction
Following the first-principles calculations, we concluded that some types of gas molecules have energy states on the III-N surface.When these molecules collide with the III-N surface, electrons can be transferred from the molecules to the 2DEG channel, which causes the positively charged molecules to be adsorbed on the surface.The amount of adsorbed molecules depends on the inner polarization field (driving force) and environment (outside condition).The adsorption and desorption of molecules occur constantly, and under stable conditions, they reach an equilibrium state with a relatively stable 2DEG concentration.The equilibrium state is sensitive to environmental conditions.We verified this observation using O 2 as an example.
As shown in Figure 5a, for a fresh AlGaN/GaN heterojunction with an AlGaN barrier layer that is thicker than the critical thickness, sheets of positive +σ and negative −σ fixed charges are induced by spontaneous and piezoelectric polarizations at the interface and surface, respectively.The positive and negative fixed charges are coupled to each other in pairs, and there is no 2DEG in the AlGaN/GaN interface channel.The O 2 molecules on the AlGaN surface have energy states above the Fermi energy level; however, because there are no O 2 molecules in the environment, those O 2 energy states do not function.
omaterials 2024, 14, x FOR PEER REVIEW 7 of constantly, and under stable conditions, they reach an equilibrium state with a relativ stable 2DEG concentration.The equilibrium state is sensitive to environmental conditio We verified this observation using O2 as an example.
As shown in Figure 5a, for a fresh AlGaN/GaN heterojunction with an AlGaN barr layer that is thicker than the critical thickness, sheets of positive +σ and negative −σ fix charges are induced by spontaneous and piezoelectric polarizations at the interface a surface, respectively.The positive and negative fixed charges are coupled to each other pairs, and there is no 2DEG in the AlGaN/GaN interface channel.The O2 molecules on AlGaN surface have energy states above the Fermi energy level; however, because th are no O2 molecules in the environment, those O2 energy states do not function.As shown in Figure 5b, when there are O2 molecules in the environment, they cont the AlGaN surface, and the O2 energy states assist the transfer of electrons from the molecules to the 2DEG channel.Thus, the initial fixed charge coupling (+σ and −σ broken.Subsequently, new charge couplings are established; the positively charged molecules couple with the same number of negative fixed charges on the surface, and electrons in the channel couple with the same number of positive fixed charges at interface.Under these charge couplings, the positively charged O2 molecules adsorb the AlGaN surface in a higher stable state than those undergoing pure physi adsorption.As O2 models collide and transfer electrons, more O2 ions are adsorbed on AlGaN surface, and more electrons enter the 2DEG channel.This continues until the energy states and surface potential drop to the Fermi energy level.
As shown in Figure 5c, the adsorption of O2 molecule ions is a dynamic proce which indicates that adsorption and desorption occur simultaneously and continuous If the adsorption rate is higher than the desorption rate, the 2DEG concentration increas If the adsorption rate is lower than the desorption rate, the 2DEG concentration decreas When the adsorption rate is equal to the desorption rate, equilibrium is established, a the 2DEG concentration is stable.
During the O2 adsorption process, there is a barrier height that blocks the transfer electrons from the O2 molecule to the channel by reducing the transfer probability, wh would be accompanied by a very low adsorption rate.This was verified by the results the experiment conducted under dark conditions and in an air atmosphere (see Section of the Supporting Information for further details).Additional excitation, as under U As shown in Figure 5b, when there are O 2 molecules in the environment, they contact the AlGaN surface, and the O 2 energy states assist the transfer of electrons from the O 2 molecules to the 2DEG channel.Thus, the initial fixed charge coupling (+σ and −σ) is broken.Subsequently, new charge couplings are established; the positively charged O 2 molecules couple with the same number of negative fixed charges on the surface, and the electrons in the channel couple with the same number of positive fixed charges at the interface.Under these charge couplings, the positively charged O 2 molecules adsorb on the AlGaN surface in a higher stable state than those undergoing pure physical adsorption.As O 2 models collide and transfer electrons, more O 2 ions are adsorbed on the AlGaN surface, and more electrons enter the 2DEG channel.This continues until the O 2 energy states and surface potential drop to the Fermi energy level.
As shown in Figure 5c, the adsorption of O 2 molecule ions is a dynamic process, which indicates that adsorption and desorption occur simultaneously and continuously.If the adsorption rate is higher than the desorption rate, the 2DEG concentration increases.If the adsorption rate is lower than the desorption rate, the 2DEG concentration decreases.When the adsorption rate is equal to the desorption rate, equilibrium is established, and the 2DEG concentration is stable.
During the O 2 adsorption process, there is a barrier height that blocks the transfer of electrons from the O 2 molecule to the channel by reducing the transfer probability, which would be accompanied by a very low adsorption rate.This was verified by the results of the experiment conducted under dark conditions and in an air atmosphere (see Section S2 of the Supporting Information for further details).Additional excitation, as under UV illumination, can increase the adsorption rate, as shown in Figure 2.

4 ,
x FOR PEER REVIEW 3 of 10 on the AlGaN/GaN heterojunction owing to the strong polarization of the heterojunction or other unknown mechanisms.

Figure 1 .
Figure 1.Ungated AlGaN/GaN HEMT in different environments.(a) Diagram of the ungated AlGaN/GaN HEMT structure.(b) Top view of the ungated AlGaN/GaN HEMT.(c) Ids-t curves for different organic liquids dropped onto the surface of the AlGaN/GaN heterojunction.(d) Ids-t curve of the device in a dark vacuum chamber (10 −3 Pa) after ethanol was dropped onto the surface.(e) Ids variations in the device in a dark vacuum chamber (10 −9 Pa) over one week.(f) O1s signal from the device surface before and after the dropwise addition of ethanol obtained via X-ray photoelectron spectroscopy (XPS).

Figure 1 .
Figure 1.Ungated AlGaN/GaN HEMT in different environments.(a) Diagram of the ungated AlGaN/GaN HEMT structure.(b) Top view of the ungated AlGaN/GaN HEMT.(c) I ds -t curves for different organic liquids dropped onto the surface of the AlGaN/GaN heterojunction.(d) I ds -t curve of the device in a dark vacuum chamber (10 −3 Pa) after ethanol was dropped onto the surface.(e) I ds variations in the device in a dark vacuum chamber (10 −9 Pa) over one week.(f) O1s signal from the device surface before and after the dropwise addition of ethanol obtained via X-ray photoelectron spectroscopy (XPS).

Figure 2 .
Figure 2. Effects of an ungated AlGaN/GaN HEMT excited by UV light.(a) Ids-t curves of the ungated AlGaN/GaN HEMT under low-power UV illumination and in different gas atmospheres.(b) Ids-t curve of the ungated AlGaN/GaN HEMT under higher-power UV illumination and in an O2 atmosphere.(c) Schematic of the energy band of the ungated AlGaN/GaN HEMT under UV illumination and in an O2 atmosphere.

Figure 2 .
Figure 2. Effects of an ungated AlGaN/GaN HEMT excited by UV light.(a) ∆I ds -t curves of the ungated AlGaN/GaN HEMT under low-power UV illumination and in different gas atmospheres.(b) I ds -t curve of the ungated AlGaN/GaN HEMT under higher-power UV illumination and in an O 2 atmosphere.(c) Schematic of the energy band of the ungated AlGaN/GaN HEMT under UV illumination and in an O 2 atmosphere.

Figure 3 .
Figure 3. Side views of the optimized GaN(0001) structures.(a) NH3 adatom reconstruction on the surface, and (c) O2 adsorbed on the surface.

Figure 3 .
Figure 3. Side views of the optimized GaN(0001) structures.(a) N H3 adatom reconstruction, (b) N 2 on the surface, and (c) O 2 adsorbed on the surface.

Figure 5 .
Figure 5. Schematic cross-sectional and bandgap diagrams of the physical model of dyna modulation doping generated by O2 adsorption on the AlGaN/GaN surface.(a) Clean surface.O2 molecules adsorbed on the AlGaN/GaN surface.(c) Adsorption of molecules at equilibri on the AlGaN/GaN surface.

Figure 5 .
Figure 5. Schematic cross-sectional and bandgap diagrams of the physical model of dynamic modulation doping generated by O 2 adsorption on the AlGaN/GaN surface.(a) Clean surface.(b) O 2 molecules adsorbed on the AlGaN/GaN surface.(c) Adsorption of O 2 molecules at equilibrium on the AlGaN/GaN surface.